Effective Approximation for a Stochastic System with Large Potential

Ao Zhang; Jinqiao Duan

REVIEW

Effective Approximation for a Stochastic System with Large Potential

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2011.09659 v1 pith:HUQQBB4G submitted 2020-11-18 math.AP math.PR

Ao Zhang , Jinqiao Duan This is my paper · ORCID

classification math.APmath.PR

keywords effectiveapproximationcellequationlargepotentialsolutionstochastic

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

This letter is about effective approximation for a stochastic parabolic equation with a large potential in a periodic medium. Under a condition on the spectral properties of the associated cell problem, we prove that the solution can be approximately factorized as the product of a fast oscillating cell eigenfunction and of a solution of an effective equation.

Discussion (0). Continue with ORCID to comment.

Pith tools